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# If a, b and c are integers such that b > a, is b+c > a

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Math Expert
Joined: 02 Aug 2009
Posts: 5208

Kudos [?]: 5832 [0], given: 117

Re: If a, b and c are integers such that b > a, is b+c > a [#permalink]

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18 Mar 2016, 09:11
.rr1990 wrote:
Bunuel

In this problem can we subtract the following inequalities?

b>a
b+c>a

and arrive at 'is c>0??'

Hi,

NO you cannot..
if
b>a...I
b+c>a..II

I-II
b-(b+c)>a-a
-c>0
or c<0

II-I
b+c-b>a-a
c>0

so you see, you have two opposite answer depending on the way you subtract..

_________________

Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

Kudos [?]: 5832 [0], given: 117

Intern
Joined: 11 Jun 2017
Posts: 33

Kudos [?]: 4 [0], given: 74

If a, b and c are integers such that b > a, is b+c > a [#permalink]

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01 Oct 2017, 09:32
If a, b and c are integers such that b > a, is b+c > a ?

(1) c > a

lets say b=-1 and a=-2. If c=-1 then -1+-1 = -2 ---> is b+c > a NO. If c=1 then -1+1>-2 YES.

Hence insufficient.

(2) abc > 0

Only tell us either a,b,c are all positive or 2 negative and 1 positive, besides this info we get nothing. Hence insufficient.

IF two combines. When b is positive a, c must be negative (all three are positive will be a straight answer. And all three negative will never happen because abc > 0) (abc>0, b>a, c>a). Either outcome makes b+c > a. (C) Correct

Kudos [?]: 4 [0], given: 74

If a, b and c are integers such that b > a, is b+c > a   [#permalink] 01 Oct 2017, 09:32

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